In 1933 [1]} and in 1940 [2]} Wright introduced new
special functions which were considered as a kind of generalization of the
Bessel functions. However, today they play a significant independent role in
mathematics and in solutions of physical problems by modeling space
diffusion, stochastic processes, probability distributions and other diverse
natural phenomena [3]}, [4]}. The Wright functions are
defined by the following series
\(\mathrm {W}_{\alpha ,\beta }\left( x\right) =\sum _{k=0}^{\infty }\frac{x^{k}}{k!\,\Gamma \left( \alpha k+\beta \right) }. \) 
